13363775665800 has 384 divisors, whose sum is σ = 50553424373760. Its totient is φ = 2853820569600.

The previous prime is 13363775665789. The next prime is 13363775665847. The reversal of 13363775665800 is 856657736331.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2545180 + ... + 5762420.

It is an arithmetic number, because the mean of its divisors is an integer number (131649542640).

Almost surely, 2^{13363775665800} is an apocalyptic number.

13363775665800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13363775665800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25276712186880).

13363775665800 is an abundant number, since it is smaller than the sum of its proper divisors (37189648707960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13363775665800 is a wasteful number, since it uses less digits than its factorization.

13363775665800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217333 (or 3217324 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 60.

The spelling of 13363775665800 in words is "thirteen trillion, three hundred sixty-three billion, seven hundred seventy-five million, six hundred sixty-five thousand, eight hundred".